Neco 2021 Further Mathematics Question 21

Practice objective / multiple choice question 21 from the 2021 Neco Further Mathematics examination.

Neco 2021 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 21 NECO • 2021 • FURTHER_MATHEMATICS • objective

Given that \\( \\sin \\theta + \\sqrt{3}\\cos \\theta = 2 \\) and \\(0^{\\circ} \\le \\theta < 360^{\\circ}\\), find the value of \\( \\theta \\) and then compute \\( \\tan \\frac{\\theta}{2} \\).

Answer Options

A. 2+\\sqrt{3}
B. \\sqrt{3}-2
C. 2-\\frac{\\sqrt{3}}{2}
Correct Answer D. 2-\\sqrt{3}
Correct Answer
D
Correct Option:
2-\\sqrt{3}

About This Question

This is Neco 2021 Further Mathematics Question 21. It is one of the objective questions from the 2021 Neco Further Mathematics examination.

Difficulty level: Medium .

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